Elliptic systems of pseudodifferential equations in the refined scale on a closed manifold

• Autorzy: Mikhailets V. A. , Murach A. A.
• Języki publikacji: PL

Abstrakty

EN

We study a system of pseudodifferential equations which is elliptic in the Petrovskiî sense on a closed smooth manifold. We prove that the operator generated by the system is a Fredholm operator in a refined two-sided scale of Hilbert function spaces. Elements of this scale are special isotropic spaces of Hörmander-Volevich-Paneah.

Słowa kluczowe

EN

elliptic system; pseudodifferential operator; regularly varying function; scale of spaces; Hormander spaces; Fredholm property

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2008
• Tom: Vol. 56, no 3-4
• Strony: 213--224
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Mikhailets V. A.

autor

Murach A. A.

Bibliografia

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